laminate over uneven vinyl

We pulled up the carpet in our family room that has a vinyl floor over a wooden subfloor with the plan to lay a laminate over it that has a pre-attached pad. I am afraid to get into removing the vinyl as our house is about 60 yrs old and I am concerned about it having asbestos backing- especially since I have a son with asthma. Problem is once we pulled the carpet up we found that the floor is visibly uneven. I know I cannot lay a laminate on an uneven floor. Any suggestions for leveling?

laminate over uneven vinyl

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laminate over uneven vinyl

Thanks Jim. I was thinking that but wasn't sure if it would adhere well to vinyl. Does the vinyl need a bonder or primer to make it tacky first?? It dips about about 1/4 inch, maybe 3/8ths - enough that it very visible.